We got a weeping willow last fall. We planted it, but we didn't get the protective fencing around it before the deer took their antlers to it. It was girdled. We left it alone just to see if there may be some kind of miracle come spring. Well, while looking at the tree today, I found a few green buds around the base of the trunk where the tree did not get damaged by the deer. The rest of the tree is gone -- brown and dry. If I cut off the dead part above where the buds are sprouting, can it manage to recover and grow normally from just a short stem? The trunk is barely an inch in diameter. I'm hoping it can still be saved.